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Finding the Third Proportional to 694,110 and 1,407,538.50

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Solution

The third proportional to 694,110 and 1,407,538.50 is: 2,854,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,110 : 1,407,538.50 = 1,407,538.50 : x
  2. Step 2: Convert to fraction form
    694,110/1,407,538.50 = 1,407,538.50/x
  3. Step 3: Cross multiply
    694,110x = 1,407,538.50 × 1,407,538.50
  4. Step 4: Simplify right side
    694,110x = 1,981,164,628,982.25
  5. Step 5: Solve for x
    x = 1,981,164,628,982.25/694,110
  6. Step 6: Final answer
    x = 2,854,251.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.